**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**7142

# Search results for: Taylor Analogy Breakup Model

##### 7142 Spray Combustion Dynamics under Thermoacoustic Oscillations

**Authors:**
Wajid A. Chishty,
Stephen D. Lepera,
Uri Vandsburger

**Abstract:**

**Keywords:**
Secondary droplet breakup,
Spray dynamics,
Taylor
Analogy Breakup Model,
Thermoacoustic instabilities.

##### 7141 Design of the Mathematical Model of the Respiratory System Using Electro-acoustic Analogy

**Authors:**
M. Rozanek,
K. Roubik

**Abstract:**

**Keywords:**
Model of the respiratory system,
total lung
impedance,
intrapulmonary parameters.

##### 7140 Experimental Investigations of a Modified Taylor-Couette Flow

**Authors:**
A. Esmael,
A. El Shrif

**Abstract:**

In this study the instability problem of a modified Taylor-Couette flow between two vertical coaxial cylinders of radius R1, R2 is considered. The modification is based on the wavy shape of the inner cylinder surface, where inner cylinders with different surface amplitude and wavelength are used. The study aims to discover the effect of the inner surface geometry on the instability phenomenon that undergoes Taylor-Couette flow. The study reveals that the transition processes depends strongly on the amplitude and wavelength of the inner cylinder surface and resulting in flow instabilities that are strongly different from that encountered in the case of the classical Taylor-Couette flow.

**Keywords:**
Hydrodynamic Instability,
Modified Taylor-Couette
Flow,
Turbulence,
Taylor vortices.

##### 7139 Mathematical Model of the Respiratory System – Comparison of the Total Lung Impedance in the Adult and Neonatal Lung

**Authors:**
M. Rozanek,
K. Roubik

**Abstract:**

**Keywords:**
Electro-acoustic analogy,
total lung impedance,
mechanical parameters,
respiratory system.

##### 7138 Applying the Crystal Model Approach on Light Nuclei for Calculating Radii and Density Distribution

**Authors:**
A. Amar

**Abstract:**

A new model namely, the crystal model, has been modified to calculate radius and density distribution of light nuclei up to 8Be. The crystal model has been modified according to solid state physics which uses the analogy between nucleon distribution and atoms distribution in the crystal. The model has analytical analysis to calculate the radius where the density distribution of light nuclei has been obtained from the analogy of crystal lattice. The distribution of nucleons over crystal has been discussed in general form. The equation used to calculate binding energy was taken from the solid-state model of repulsive and attractive force. The numbers of the protons were taken to control repulsive force where the atomic number was responsible for the attractive force. The parameter has been calculated from the crystal model was found to be proportional to the radius of the nucleus. The density distribution of light nuclei was taken as a summation of two clusters distribution as in 6Li=alpha+deuteron configuration. A test has been done on the data obtained for radius and density distribution using double folding for d+6,7Li with M3Y nucleon-nucleon interaction. Good agreement has been obtained for both radius and density distribution of light nuclei. The model failed to calculate the radius of 9Be, so modifications should be done to overcome discrepancy.

**Keywords:**
nuclear lattice,
crystal model,
light nuclei,
nuclear density distributions

##### 7137 A Comparison of Recent Methods for Solving a Model 1D Convection Diffusion Equation

**Authors:**
Ashvin Gopaul,
Jayrani Cheeneebash,
Kamleshsing Baurhoo

**Abstract:**

In this paper we study some numerical methods to solve a model one-dimensional convection–diffusion equation. The semi-discretisation of the space variable results into a system of ordinary differential equations and the solution of the latter involves the evaluation of a matrix exponent. Since the calculation of this term is computationally expensive, we study some methods based on Krylov subspace and on Restrictive Taylor series approximation respectively. We also consider the Chebyshev Pseudospectral collocation method to do the spatial discretisation and we present the numerical solution obtained by these methods.

**Keywords:**
Chebyshev Pseudospectral collocation method,
convection-diffusion equation,
restrictive Taylor approximation.

##### 7136 Emergency Health Management at a South African University

**Authors:**
R. Tandlich,
S. Hoossein,
K. A. Tagwira,
M. M. Marais,
T. A. Ludwig,
R. P. Chidziva,
M. N. Munodawafa,
W. M. Wrench

**Abstract:**

Response to the public health-related emergencies is analysed here for a rural university in South Africa. The structure of the designated emergency plan covers all the phases of the disaster management cycle. The plan contains elements of the vulnerability model and the technocratic model of emergency management. The response structures are vertically and horizontally integrated, while the planning contains elements of scenario-based and functional planning. The available number of medical professionals at the Rhodes University, along with the medical insurance rates, makes the staff and students potentially more medically vulnerable than the South African population. The main improvements of the emergency management are required in the tornado response and the information dissemination during health emergencies. The latter should involve the increased use of social media and e-mails, following the Taylor model of communication. Infrastructure must be improved in the telecommunication sector in the face of unpredictable electricity outages.

**Keywords:**
Public health,
Rural university,
Taylor model of communication.

##### 7135 Role-Governed Categorization and Category Learning as a Result from Structural Alignment: The RoleMap Model

**Authors:**
Yolina A. Petrova,
Georgi I. Petkov

**Abstract:**

The paper presents a symbolic model for category learning and categorization (called *RoleMap*). Unlike the other models which implement learning in a separate working mode, role-governed category learning and categorization emerge in *RoleMap* while it does its usual reasoning. The model is based on several basic mechanisms known as reflecting the sub-processes of analogy-making. It steps on the assumption that in their everyday life people constantly compare what they experience and what they know. Various commonalities between the incoming information (current experience) and the stored one (long-term memory) emerge from those comparisons. Some of those commonalities are considered to be highly important, and they are transformed into concepts for further use. This process denotes the category learning. When there is missing knowledge in the incoming information (i.e. the perceived object is still not recognized), the model makes anticipations about what is missing, based on the similar episodes from its long-term memory. Various such anticipations may emerge for different reasons. However, with time only one of them wins and is transformed into a category member. This process denotes the act of categorization.

**Keywords:**
Categorization,
category learning,
role-governed category,
analogy-making,
cognitive modeling.

##### 7134 Chaotic Behavior in Monetary Systems: Comparison among Different Types of Taylor Rule

**Authors:**
Reza Moosavi Mohseni,
Wenjun Zhang,
Jiling Cao

**Abstract:**

**Keywords:**
Chaos theory,
GMM estimator,
Lyapunov Exponent,
Monetary System,
Taylor Rule.

##### 7133 Rear Separation in a Rotating Fluid at Moderate Taylor Numbers

**Authors:**
S. Damodaran,
T. V. S.Sekhar

**Abstract:**

**Keywords:**
Navier_Stokes equations,
Taylor number,
Reynolds number,
Higher order compact scheme,
Rotating Fluid.

##### 7132 Discovering the Dimension of Abstractness: Structure-Based Model that Learns New Categories and Categorizes on Different Levels of Abstraction

**Authors:**
Georgi I. Petkov,
Ivan I. Vankov,
Yolina A. Petrova

**Abstract:**

A structure-based model of category learning and categorization at different levels of abstraction is presented. The model compares different structures and expresses their similarity implicitly in the forms of mappings. Based on this similarity, the model can categorize different targets either as members of categories that it already has or creates new categories. The model is novel using two threshold parameters to evaluate the structural correspondence. If the similarity between two structures exceeds the higher threshold, a new sub-ordinate category is created. Vice versa, if the similarity does not exceed the higher threshold but does the lower one, the model creates a new category on higher level of abstraction.

**Keywords:**
Analogy-making,
categorization,
learning of categories,
abstraction,
hierarchical structure.

##### 7131 The Spiral_OWL Model – Towards Spiral Knowledge Engineering

**Authors:**
Hafizullah A. Hashim,
Aniza. A

**Abstract:**

**Keywords:**
Domain Expert,
Knowledge Base,
Ontology,
Software Process.

##### 7130 Crystalline Model Approach for Studying the Nuclear Properties of Light Nuclei

**Abstract:**

A study of the structure of the nucleus with the analogy by solid-state physics has been developed. We have used binding energy to calculate R (a parameter that is proportional to the radius of the nucleus) for deuteron, alpha, and ^{8}Be. The calculated parameter r calculated from solid state physics produces a probe for calculation the nuclear radii. ^{8}Be has special attention as it is radioactive nucleus and the latest nucleus to be calculated from crystalline model approach. The distribution of nucleons inside the nucleus is taken to be tetrahedral for ^{16}O. The model has failed to expect the radius of ^{9}Be which is an impression about the modification should be done on the model at near future. A comparison between our calculations and those from literature has been made, and a good agreement has been obtained.

**Keywords:**
The structure of the nucleus,
binding energy,
crystalline model approach,
nuclear radii,
tetrahedral for 16O.

##### 7129 Heat and Mass Transfer of Triple Diffusive Convection in a Rotating Couple Stress Liquid Using Ginzburg-Landau Model

**Authors:**
Sameena Tarannum,
S. Pranesh

**Abstract:**

A nonlinear study of triple diffusive convection in a rotating couple stress liquid has been analysed. It is performed to study the effect of heat and mass transfer by deriving Ginzburg-Landau equation. Heat and mass transfer are quantified in terms of Nusselt number and Sherwood numbers, which are obtained as a function of thermal and solute Rayleigh numbers. The obtained Ginzburg-Landau equation is Bernoulli equation, and it has been elucidated numerically by using Mathematica. The effects of couple stress parameter, solute Rayleigh numbers, and Taylor number on the onset of convection and heat and mass transfer have been examined. It is found that the effects of couple stress parameter and Taylor number are to stabilize the system and to increase the heat and mass transfer.

**Keywords:**
Couple stress liquid,
Ginzburg-Landau model,
rotation,
triple diffusive convection.

##### 7128 Development of Maximum Entropy Method for Prediction of Droplet-size Distribution in Primary Breakup Region of Spray

**Authors:**
E. Movahednejad,
F. Ommi

**Abstract:**

**Keywords:**
Droplet,
instability,
Size Distribution,
Turbulence,
Maximum Entropy

##### 7127 Retail Strategy to Reduce Waste Keeping High Profit Utilizing Taylor's Law in Point-of-Sales Data

**Authors:**
Gen Sakoda,
Hideki Takayasu,
Misako Takayasu

**Abstract:**

Waste reduction is a fundamental problem for sustainability. Methods for waste reduction with point-of-sales (POS) data are proposed, utilizing the knowledge of a recent econophysics study on a statistical property of POS data. Concretely, the non-stationary time series analysis method based on the Particle Filter is developed, which considers abnormal fluctuation scaling known as Taylor's law. This method is extended for handling incomplete sales data because of stock-outs by introducing maximum likelihood estimation for censored data. The way for optimal stock determination with pricing the cost of waste reduction is also proposed. This study focuses on the examination of the methods for large sales numbers where Taylor's law is obvious. Numerical analysis using aggregated POS data shows the effectiveness of the methods to reduce food waste maintaining a high profit for large sales numbers. Moreover, the way of pricing the cost of waste reduction reveals that a small profit loss realizes substantial waste reduction, especially in the case that the proportionality constant of Taylor’s law is small. Specifically, around 1% profit loss realizes half disposal at =0.12, which is the actual value of processed food items used in this research. The methods provide practical and effective solutions for waste reduction keeping a high profit, especially with large sales numbers.

**Keywords:**
Food waste reduction,
particle filter,
point of sales,
sustainable development goals,
Taylor's Law,
time series analysis.

##### 7126 Application of Differential Transformation Method for Solving Dynamical Transmission of Lassa Fever Model

**Authors:**
M. A. Omoloye,
M. I. Yusuff,
O. K. S. Emiola

**Abstract:**

The use of mathematical models for solving biological problems varies from simple to complex analyses, depending on the nature of the research problems and applicability of the models. The method is more common nowadays. Many complex models become impractical when transmitted analytically. However, alternative approach such as numerical method can be employed. It appropriateness in solving linear and non-linear model equation in Differential Transformation Method (DTM) which depends on Taylor series make it applicable. Hence this study investigates the application of DTM to solve dynamic transmission of Lassa fever model in a population. The mathematical model was formulated using first order differential equation. Firstly, existence and uniqueness of the solution was determined to establish that the model is mathematically well posed for the application of DTM. Numerically, simulations were conducted to compare the results obtained by DTM and that of fourth-order Runge-Kutta method. As shown, DTM is very effective in predicting the solution of epidemics of Lassa fever model.

**Keywords:**
Differential Transform Method,
Existence and uniqueness,
Lassa fever,
Runge-Kutta Method.

##### 7125 Electrical Equivalent Analysis of Micro Cantilever Beams for Sensing Applications

**Authors:**
B. G. Sheeparamatti,
J. S. Kadadevarmath

**Abstract:**

**Keywords:**
Electrical equivalent circuit analogy,
FEM analysis,
micro cantilevers,
micro sensors.

##### 7124 Procedure Model for Data-Driven Decision Support Regarding the Integration of Renewable Energies into Industrial Energy Management

**Authors:**
M. Graus,
K. Westhoff,
X. Xu

**Abstract:**

The climate change causes a change in all aspects of society. While the expansion of renewable energies proceeds, industry could not be convinced based on general studies about the potential of demand side management to reinforce smart grid considerations in their operational business. In this article, a procedure model for a case-specific data-driven decision support for industrial energy management based on a holistic data analytics approach is presented. The model is executed on the example of the strategic decision problem, to integrate the aspect of renewable energies into industrial energy management. This question is induced due to considerations of changing the electricity contract model from a standard rate to volatile energy prices corresponding to the energy spot market which is increasingly more affected by renewable energies. The procedure model corresponds to a data analytics process consisting on a data model, analysis, simulation and optimization step. This procedure will help to quantify the potentials of sustainable production concepts based on the data from a factory. The model is validated with data from a printer in analogy to a simple production machine. The overall goal is to establish smart grid principles for industry via the transformation from knowledge-driven to data-driven decisions within manufacturing companies.

**Keywords:**
Data analytics,
green production,
industrial energy management,
optimization,
renewable energies,
simulation.

##### 7123 Rayleigh-Bénard-Taylor Convection of Newtonian Nanoliquid

**Authors:**
P. G. Siddheshwar,
T. N. Sakshath

**Abstract:**

**Keywords:**
Nanoliquid,
rigid-rigid,
rotation,
single-phase.

##### 7122 Numerical Analysis of the Turbulent Flow around DTMB 4119 Marine Propeller

**Authors:**
K. Boumediene,
S. E. Belhenniche

**Abstract:**

**Keywords:**
propeller flow,
CFD simulation,
hydrodynamic performance,
RANS

##### 7121 Seismic Analysis of a S-Curved Viaduct using Stick and Finite Element Models

**Authors:**
Sourabh Agrawal,
Ashok K. Jain

**Abstract:**

**Keywords:**
Bearing,
body constraint,
box girder,
curved viaduct,
expansion joint,
finite element,
link element,
seismic,
stick model,
time history analysis.

##### 7120 An Approach to Control Design for Nonlinear Systems via Two-stage Formal Linearization and Two-type LQ Controls

**Authors:**
Kazuo Komatsu,
Hitoshi Takata

**Abstract:**

**Keywords:**
Formal Linearization,
LQ Control,
Nonlinear Control,
Taylor Expansion,
Zero Function.

##### 7119 A New Floating Point Implementation of Base 2 Logarithm

**Authors:**
Ahmed M. Mansour,
Ali M. El-Sawy,
Ahmed T Sayed

**Abstract:**

Logarithms reduce products to sums and powers to products; they play an important role in signal processing, communication and information theory. They are primarily used for hardware calculations, handling multiplications, divisions, powers, and roots effectively. There are three commonly used bases for logarithms; the logarithm with base-10 is called the common logarithm, the natural logarithm with base-e and the binary logarithm with base-2. This paper demonstrates different methods of calculation for log2 showing the complexity of each and finds out the most accurate and efficient besides giving insights to their hardware design. We present a new method called Floor Shift for fast calculation of log2, and then we combine this algorithm with Taylor series to improve the accuracy of the output, we illustrate that by using two examples. We finally compare the algorithms and conclude with our remarks.

**Keywords:**
Logarithms,
log2,
floor,
iterative,
CORDIC,
Taylor series.

##### 7118 Behaviours of Energy Spectrum at Low Reynolds Numbers in Grid Turbulence

**Authors:**
Md. Kamruzzaman,
L. Djenidi,
R. A. Antonia

**Abstract:**

This paper reports an experimental investigation of the energy spectrum of turbulent velocity fields at low Reynolds numbers in grid turbulence. Hot wire measurements are carried out in grid turbulence with subjected to a 1.36:1 contraction of the wind tunnel. Three different grids are used: (i) large square perforated grid (mesh size 43.75mm), (ii) small square perforated grid (mesh size 14. and (iii) woven mesh grid (mesh size 5mm). The results indicate that the energy spectrum at small Reynolds numbers does not follow Kolmogorov’s universal scaling. It is further found that the critical Reynolds number, below which the scaling breaks down, is around 25.

**Keywords:**
Decay exponent,
Energy spectrum,
Taylor microscale Reynolds number,
Taylor microscale,
Turbulent kinetic energy.

##### 7117 Subclasses of Bi-Univalent Functions Associated with Hohlov Operator

**Authors:**
Rashidah Omar,
Suzeini Abdul Halim,
Aini Janteng

**Abstract:**

The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions. A function *f *ϵ* A *is said to be bi-univalent in the open unit disk *D* if both *f *and *f ^{-1}* are univalent in

*D*. The symbol

*A*denotes the class of all analytic functions

*f*in

*D*and it is normalized by the conditions

*f*(0) =

*f’*(0) – 1=0. The class of bi-univalent is denoted by The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function

*f*is subordinate to an analytic function

*g*if there is an analytic function

*w*defined on

*D*with

*w*(0) = 0 and |

*w*(z)| < 1 satisfying

*f*(

*z*) =

*g*[

*w*(

*z*)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors.

**Keywords:**
Analytic functions,
bi-univalent functions,
Hohlov operator,
subordination.

##### 7116 A Survey of Model Comparison Strategies and Techniques in Model Driven Engineering

**Authors:**
Junaid Rashid,
Waqar Mehmood,
Muhammad Wasif Nisar

**Abstract:**

**Keywords:**
Model comparison,
model clone detection,
model
versioning,
EMF Model,
model diff.

##### 7115 Derivation of Fractional Black-Scholes Equations Driven by Fractional G-Brownian Motion and Their Application in European Option Pricing

**Authors:**
Changhong Guo,
Shaomei Fang,
Yong He

**Abstract:**

**Keywords:**
European option pricing,
fractional Black-Scholes
equations,
fractional G-Brownian motion,
Taylor’s series of fractional
order,
uncertain volatility.

##### 7114 A 3D Numerical Environmental Modeling Approach for Assessing Transport of Spilled Oil in Porous Beach Conditions under a Meso-Scale Tank Design

**Authors:**
J. X. Dong,
C. J. An,
Z. Chen,
E. H. Owens,
M. C. Boufadel,
E. Taylor,
K. Lee

**Abstract:**

Shorelines are vulnerable to significant environmental impacts from oil spills. Stranded oil can cause potential short- to long-term detrimental effects along beaches that include injuries to ecosystem, socio-economic and cultural resources. In this study, a three-dimensional (3D) numerical modeling approach is developed to evaluate the fate and transport of spilled oil for hypothetical oiled shoreline cases under various combinations of beach geomorphology and environmental conditions. The developed model estimates the spatial and temporal distribution of spilled oil for the various test conditions, using the finite volume method and considering the physical transport (dispersion and advection), sinks, and sorption processes. The model includes a user-friendly interface for data input on variables such as beach properties, environmental conditions, and physical-chemical properties of spilled oil. An experimental meso-scale tank design was used to test the developed model for dissolved petroleum hydrocarbon within shorelines. The simulated results for effects of different sediment substrates, oil types, and shoreline features for the transport of spilled oil are comparable to that obtained with a commercially available model. Results show that the properties of substrates and the oil removal by shoreline effects have significant impacts on oil transport in the beach area. Sensitivity analysis, through the application of the one-step-at-a-time method (OAT), for the 3D model identified hydraulic conductivity as the most sensitive parameter. The 3D numerical model allows users to examine the behavior of oil on and within beaches, assess potential environmental impacts, and provide technical support for decisions related to shoreline clean-up operations.

**Keywords:**
dissolved petroleum hydrocarbons,
environmental multimedia model,
finite volume method,
FVM,
sensitivity analysis,
total petroleum hydrocarbons,
TPH

##### 7113 Maximizer of the Posterior Marginal Estimate of Phase Unwrapping Based On Statistical Mechanics of the Q-Ising Model

**Authors:**
Yohei Saika,
Tatsuya Uezu

**Abstract:**

We constructed a method of phase unwrapping for a typical wave-front by utilizing the maximizer of the posterior marginal (MPM) estimate corresponding to equilibrium statistical mechanics of the three-state Ising model on a square lattice on the basis of an analogy between statistical mechanics and Bayesian inference. We investigated the static properties of an MPM estimate from a phase diagram using Monte Carlo simulation for a typical wave-front with synthetic aperture radar (SAR) interferometry. The simulations clarified that the surface-consistency conditions were useful for extending the phase where the MPM estimate was successful in phase unwrapping with a high degree of accuracy and that introducing prior information into the MPM estimate also made it possible to extend the phase under the constraint of the surface-consistency conditions with a high degree of accuracy. We also found that the MPM estimate could be used to reconstruct the original wave-fronts more smoothly, if we appropriately tuned hyper-parameters corresponding to temperature to utilize fluctuations around the MAP solution. Also, from the viewpoint of statistical mechanics of the Q-Ising model, we found that the MPM estimate was regarded as a method for searching the ground state by utilizing thermal fluctuations under the constraint of the surface-consistency condition.

**Keywords:**
Bayesian inference,
maximizer of the posterior
marginal estimate,
phase unwrapping,
Monte Carlo simulation,
statistical mechanics